9,446,381

7 × 347 × 3889

Starting at 9,446,381, the Collatz iteration reaches 1 after 163 steps. The first transition is 28339144; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 347 × 3889

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,829,760

Proper Divisor Sum 1,383,379

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #9446329 ← → #9446443

Radix Representation

Decimal	9446381
Binary	100100000010001111101101 (24 bits)
Octal	0o44021755
Hexadecimal	0x9023ED

Divisor Catalog (8)

1 7 347 2,429 3,889 27,223 1,349,483 9,446,381

Collatz Trajectory (163 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

9,446,381 28,339,144 14,169,572 7,084,786 3,542,393 10,627,180 5,313,590 2,656,795 7,970,386 3,985,193 11,955,580 5,977,790 2,988,895 8,966,686 4,483,343 13,450,030 6,725,015 20,175,046 10,087,523 30,262,570 15,131,285 45,393,856 22,696,928 11,348,464 5,674,232 2,837,116 1,418,558 709,279 2,127,838 1,063,919 3,191,758 1,595,879 4,787,638 2,393,819 7,181,458 3,590,729 10,772,188 5,386,094 2,693,047 8,079,142 4,039,571 12,118,714 6,059,357 18,178,072 9,089,036 4,544,518 2,272,259 6,816,778 3,408,389 10,225,168 5,112,584 2,556,292 1,278,146 639,073 1,917,220 958,610 479,305 1,437,916 718,958 359,479

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